Stepping to the beat

Classical Mechanics Level 2

You are watching a marching band practice outdoors. Near you are two trumpet players, one marching directly towards you and one away from you at the same speed. Each trumpet player is playing an A (440 Hz) and you hear a beat between the two sounds at a frequency of 2 Hz. How fast are the trumpet players marching in m/s?

Details and assumptions

  • The speed of sound is \(340~\mbox{m/s}\).
  • The trumpet players aren't moving very fast.

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